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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 53 · 40 sums
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The method (Undo in reverse): ax + b = c → ax = c − b → x = (c − b) ÷ a. ax − b = c → ax = c + b. x/a + b = c → x/a = c − b → x = a × (c − b). a(x + b) = c → divide by a first: x + b = c ÷ a. Word problems: call the unknown x, write the equation, solve it, then check with the story.

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  1. 1.Solve: 7(p + 1) = 84. What is p?
  2. 2.Solve: 3(y + 5) = 54. What is y?
  3. 3.Solve: y/6 + 17 = 19. What is y?
  4. 4.Solve: 5(t + 9) = 55. What is t?
  5. 5.Kabir thinks of a number, multiplies it by 7 and then adds 18. The result is 67. What is the number?
  6. 6.Solve: 6x + 13 = 25. What is x?
  7. 7.Pooja’s mother is twice as old as Pooja. Their ages add up to 45 years. How old is Pooja?
  8. 8.Solve: 6p + 5 = 95. What is p?
  9. 9.Farhan is 5 years older than a cousin. Their ages add up to 13 years. How old is the cousin?
  10. 10.Solve: 4(m + 4) = 48. What is m?
  11. 11.Joseph is 8 years older than a cousin. Their ages add up to 32 years. How old is the cousin?
  12. 12.Rahul thinks of a number, multiplies it by 8 and then adds 12. The result is 92. What is the number?
  13. 13.Nisha thinks of a number, multiplies it by 4 and then adds 5. The result is 53. What is the number?
  14. 14.Solve: 5y − 7 = 8. What is y?
  15. 15.Solve: 6m + 30 = 78. What is m?
  16. 16.Solve: p/2 + 12 = 20. What is p?
  17. 17.Solve: 7y + 30 = 86. What is y?
  18. 18.Ishaan thinks of a number, multiplies it by 4 and then adds 9. The result is 49. What is the number?
  19. 19.Kabir thinks of a number, multiplies it by 3 and then adds 30. The result is 72. What is the number?
  20. 20.Rohan is 2 years older than a cousin. Their ages add up to 30 years. How old is the cousin?
  21. 21.Kabir thinks of a number, multiplies it by 2 and then adds 28. The result is 54. What is the number?
  22. 22.Solve: 6(m + 8) = 126. What is m?
  23. 23.Solve: 7x + 13 = 27. What is x?
  24. 24.Solve: 7(y + 1) = 91. What is y?
  25. 25.Solve: 9m + 18 = 36. What is m?
  26. 26.Solve: m/7 + 4 = 6. What is m?
  27. 27.Solve: 5x + 22 = 87. What is x?
  28. 28.Solve: t/3 + 6 = 7. What is t?
  29. 29.Solve: t/5 + 5 = 8. What is t?
  30. 30.Solve: 2(n + 5) = 24. What is n?
  31. 31.Solve: 4t + 22 = 74. What is t?
  32. 32.Kavya’s mother is twice as old as Kavya. Their ages add up to 27 years. How old is Kavya?
  33. 33.Solve: 9n − 14 = 31. What is n?
  34. 34.Solve: 4(t + 3) = 68. What is t?
  35. 35.Solve: 3(m + 6) = 42. What is m?
  36. 36.Solve: 8y − 33 = 71. What is y?
  37. 37.Kavya’s mother is four times as old as Kavya. Their ages add up to 60 years. How old is Kavya?
  38. 38.Solve: 6y + 13 = 37. What is y?
  39. 39.Ishaan thinks of a number, multiplies it by 7 and then adds 22. The result is 92. What is the number?
  40. 40.Solve: 6(n + 5) = 60. What is n?

Answer key

  1. 11
  2. 13
  3. 12
  4. 2
  5. 7
  6. 2
  7. 15
  8. 15
  9. 4
  10. 8
  11. 12
  12. 10
  13. 12
  14. 3
  15. 8
  16. 16
  17. 8
  18. 10
  19. 14
  20. 14
  21. 13
  22. 13
  23. 2
  24. 12
  25. 2
  26. 14
  27. 13
  28. 3
  29. 15
  30. 7
  31. 13
  32. 9
  33. 5
  34. 14
  35. 8
  36. 13
  37. 12
  38. 4
  39. 10
  40. 5

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